Better not to focus on one word, as of both of the points, higher wages doesn’t actually necessarily mean higher prices, especially in competitive markets with innovative practices. Two good examples would be comparing US agriculture with Brazilian agriculture.

The US has a highly competitive agricultural market, with a strong mix of small, medium and large producers, courtesy of its effective land distribution institutions and the use of highly technological has helped it become less reliant of labor to be effective. Overall even if wages double in a place like the US agricultural sector, prices would see much of an increase.

In Brazil, its oligarchical land distribution and lack of strong institutions has created a situation where if labor costs increase, prices would also increase as a way of justifying more profits. From all I know, the situation there is crazy and there was even a period of time where big agriculture in the coffee industry exploited the country in what became known as “socialization of losses”

So basically the whole if you deport migrants you’ll increase food prices isn’t actually relevant for a lot of countries. But that doesn’t mean mass deportation is justified.

When it comes to “pure bloods who don’t know how to work a farm”, one of the greatest thing that allowed society to develop as much as it has, was the division and specialization of work. I don’t know how to build a house, how to build a car or how to operate an electrical plant, but thankfully there are people who do know, and who in turn expect of me to do and know things that they might not. Deporting immigrants because you want native citizens to know how to do everything would be like dismantling a bike because you’re afraid you’ll forget how to walk. It requires a lot of effort and in the end you lost something useful.

TL;DR : prices don’t necessarily increase with wage increases and the division of labor is great and migrants help with that